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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 894 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two trains, 70 m and 55 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  4. 4.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  5. 5.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  7. 7.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.Two trains, 130 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 70 m and 315 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 90 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  24. 24.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  27. 27.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  32. 32.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  33. 33.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 250 m and 135 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.Two trains, 50 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  39. 39.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  40. 40.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?

Answer key

  1. 5
  2. 1
  3. 220
  4. 27
  5. 30
  6. 43
  7. 12
  8. 32
  9. 41
  10. 12
  11. 8
  12. 11
  13. 20
  14. 19
  15. 3
  16. 11
  17. 17
  18. 1
  19. 19
  20. 6
  21. 1
  22. 29
  23. 44
  24. 125
  25. 14
  26. 375
  27. 12
  28. 25
  29. 20
  30. 17
  31. 20
  32. 17
  33. 5
  34. 28
  35. 11
  36. 5
  37. 8
  38. 22
  39. 27
  40. 24

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